3478032000 has 512 divisors, whose sum is σ = 13098758400. Its totient is φ = 906854400.

The previous prime is 3478031993. The next prime is 3478032017. The reversal of 3478032000 is 2308743.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35855952 + ... + 35856048.

Almost surely, 2^3478032000 is an apocalyptic number.

3478032000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3478032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).

3478032000 is an abundant number, since it is smaller than the sum of its proper divisors (9620726400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3478032000 is an equidigital number, since it uses as much as digits as its factorization.

3478032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3478032000 is about 58974.8420938963. The cubic root of 3478032000 is about 1515.1112554313. Note that the first 3 decimals are identical.

The spelling of 3478032000 in words is "three billion, four hundred seventy-eight million, thirty-two thousand".